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131213468705 = 51137411572643
BaseRepresentation
bin111101000110011101…
…1101010010000100001
3110112200111021211202012
41322030323222100201
54122211121444310
6140140104002305
712323410036664
oct1721473522041
9415614254665
10131213468705
1150713645130
122151b160395
13c4b1403657
1464ca7036db
15362e65ec05
hex1e8ceea421

131213468705 has 32 divisors (see below), whose sum is σ = 180715667328. Its totient is φ = 90584179200.

The previous prime is 131213468699. The next prime is 131213468747. The reversal of 131213468705 is 507864312131.

It is a de Polignac number, because none of the positive numbers 2k-131213468705 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702887 + ... + 869756.

It is an arithmetic number, because the mean of its divisors is an integer number (5647364604).

Almost surely, 2131213468705 is an apocalyptic number.

It is an amenable number.

131213468705 is a deficient number, since it is larger than the sum of its proper divisors (49502198623).

131213468705 is a wasteful number, since it uses less digits than its factorization.

131213468705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572737.

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 131213468705 in words is "one hundred thirty-one billion, two hundred thirteen million, four hundred sixty-eight thousand, seven hundred five".

Divisors: 1 5 11 37 41 55 185 205 407 451 1517 2035 2255 7585 16687 83435 1572643 7863215 17299073 58187791 64478363 86495365 290938955 322391815 640065701 709261993 2385699431 3200328505 3546309965 11928497155 26242693741 131213468705